Mister Exam

Other calculators

(7-x)²-(x-16)²=0 equation

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
       2           2    
(7 - x)  - (x - 16)  = 0
$$\left(7 - x\right)^{2} - \left(x - 16\right)^{2} = 0$$
Detail solution
Given the equation:
(7-x)^2-(x-16)^2 = 0

Expand expressions:
49 + x^2 - 14*x - (x - 16)^2 = 0

49 + x^2 - 14*x - 256 - x^2 + 32*x = 0

Reducing, you get:
-207 + 18*x = 0

Move free summands (without x)
from left part to right part, we given:
$$18 x = 207$$
Divide both parts of the equation by 18
x = 207 / (18)

We get the answer: x = 23/2
Sum and product of roots [src]
sum
23/2
$$\frac{23}{2}$$
=
23/2
$$\frac{23}{2}$$
product
23/2
$$\frac{23}{2}$$
=
23/2
$$\frac{23}{2}$$
23/2
Rapid solution [src]
x1 = 23/2
$$x_{1} = \frac{23}{2}$$
x1 = 23/2
Numerical answer [src]
x1 = 11.5
x1 = 11.5